Yes, 179 is a prime number. Its only factors are 1 and 179.
A number is prime if no smaller prime up to its square root divides it. The square root of 179 is about 13.38, so it is enough to test the primes 2, 3, 5, 7, 11 and 13.
| Divide by | Remainder | Divides evenly? |
|---|---|---|
| 2 | 1 | No |
| 3 | 2 | No |
| 5 | 4 | No |
| 7 | 4 | No |
| 11 | 3 | No |
| 13 | 10 | No |
None of them divides 179 evenly, so 179 is prime.
| Number | Prime? |
|---|---|
| 175 | No, 5 × 5 × 7 |
| 176 | No, 2 × 2 × 2 × 2 × 11 |
| 177 | No, 3 × 59 |
| 178 | No, 2 × 89 |
| 180 | No, 2 × 2 × 3 × 3 × 5 |
| 181 | Yes |
| 182 | No, 2 × 7 × 13 |
| 183 | No, 3 × 61 |
More about 179: factors of 179 · square root of 179 · 179 in binary.
Another number? Use the prime number checker for any value, or see the list of prime numbers.